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19932011
most citedClifford Hopf gebra for two-dimensional space

14 citations · 48 across the 15 of their papers we have counts for

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15 papers

physics.gen-ph2011★ 2 cited

Concepts of relative velocity

Zbigniew Oziewicz, William S. Page

The central concept of the theory of relativity is the relativity of velocity. The velocity of a material body is not an intrinsic property of the body; it depends on a free choice…

physics.gen-ph2011★ 4 cited

Ternary relative velocity; astonishing conflict of the Lorentz group with relativity

Zbigniew Oziewicz

We are proving that the Lorentz boost entails the relative velocity to be ternary: ternary relative velocity is a velocity of a body with respect to an interior observer as seen by…

math.RA2011★ 1 cited

-permuted Frobenius Algebras

Zbigniew Oziewicz, Gregory Peter Wene

In the present paper by Frobenius algebra Y we mean a finite dimensional algebra possessing an associative and invertible (nondegenerate) form a scalar product, referred to as the…

math.LO2011

Monoidal category of operad of graphs

Maria Ernestina Chavez Rodriguez, Zbigniew Oziewicz

Usually a name of the category is inherited from the name of objects. However more relevant for a category of objects and morphisms is an algebra of morphisms. Therefore we prefer…

math-ph2006★ 4 cited

The Lorentz Boost-Link Is Not Unique. Relative velocity as a morphism in a connected groupoid category of null objects

Zbigniew Oziewicz

The isometry-link problem is to determine all isometry transformations among given pair of vectors with the condition that if these initial and final vectors coincide, the transfor…

math.CT2001

n-Categories Admissible by n-graph

Zbigniew Oziewicz, Wladyslaw Marcinek

The concept of n-categories and related subject is considered. An n-category is described as an n-graph with a composition. A new definition of operad is presented. Some illustrati…